• Title/Summary/Keyword: continuous-time systems

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S-Eigenvalue Concept for Linear Continuous-Time Systems with Probabilistic Uncertainties

  • Seo, Young-Bong;Park, Jae-Weon
    • 제어로봇시스템학회:학술대회논문집
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    • 2002.10a
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    • pp.44.5-44
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    • 2002
  • We propose a concept of the S-eigenvalue(stochastic-eigenvalue) along with corresponding eigenvector, and then we define the PDF corresponding to the S-eigenvalue on a complex plane. Based on the S-eigenvalue concept, we will establish the S-stability concept for linear continuous-time systems with probabilistic uncertainties in the system matrix. These results explicitly characterize how the S-eigenvalue in the complex plane may impose S-stability on S-eigenstructure assignment. Finally, we present numerical examples to illustrate the proposed concept.

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Fuzzy Controller by Using Digital Redesign (디지털 재설계를 이용한 퍼지제어기)

  • Lee, Ho-Jae;Joo, Young-Hoon;Park, Jin-Bae
    • Proceedings of the KIEE Conference
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    • 1999.07b
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    • pp.630-632
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    • 1999
  • In this paper, we develop intelligent digitally redesigned PAM and PWM fuzzy controllers for nonlinear systems. Takagi-Sugeno fuzzy model is used to model the nonlinear systems and a continuous-time fuzzy-model-based controller is designed based on the extended parallel-distributed-compensation method. The digital controllers are determined from existing analogue controllers. The proposed method provides an accurate and effective method for digital control of continuous·time nonlinear systems and enables us to efficiently implement a digital controller via pre-determined continuous-time TS fuzzy-model-based controller. We have applied the proposed method to the balancing problem of the inverted pendulum to show the effectiveness and feasibility of the method.

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Kalman Filtering for Linear Time-Delayed Continuous-Time Systems with Stochastic Multiplicative Noises

  • Zhang, Huanshui;Lu, Xiao;Zhang, Weihai;Wang, Wei
    • International Journal of Control, Automation, and Systems
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    • v.5 no.4
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    • pp.355-363
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    • 2007
  • The paper deals with the Kalman stochastic filtering problem for linear continuous-time systems with both instantaneous and time-delayed measurements. Different from the standard linear system, the system state is corrupted by multiplicative white noise, and the instantaneous measurement and the delayed measurement are also corrupted by multiplicative white noise. A new approach to the problem is presented by using projection formulation and reorganized innovation analysis. More importantly, the proposed approach in the paper can be applied to solve many complicated problems such as stochastic $H_{\infty}$ estimation, $H_{\infty}$ control stochastic system with preview and so on.

Robust H$\infty$ FIR Filtering for Uncertain Time-Varying Sampled-Data Systems

  • Ryu, Hee-Seob;Kwon, Byung-Moon;Kwon, Oh-Kyu
    • Journal of KIEE
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    • v.11 no.1
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    • pp.21-26
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    • 2001
  • This paper considers the problem of robust H$\infty$ filter is derived by using the equivalence relationship between the FIR filter and the recursive filter, that would be guarantee a prescribed H$\infty$ performance in the continuous-time context, irrespective of the parameter uncertainty and unknown initial states.

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A continuous-time modified gain extended Kalman filter

  • Song, Taek-Lyul
    • 제어로봇시스템학회:학술대회논문집
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    • 1986.10a
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    • pp.269-274
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    • 1986
  • A continuous-time modified gain extended Kalman filter (MGEKF) is developed in an effort to extend the discrete-time results of 1) and 2). Used as an observer, it is globally exponentially convergent. For stochastic system, the stability of the MGEKF is proven under certain conditions. The performance of the MGEKF is compared with that of the EKF for a particular nonlinear system where the fininate dimensional optimal filter exists.

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Intelligent Digital Redesign of a Fuzzy-Model-Based Controllers for Nonlinear Systems with Uncertainties (불확실성을 갖는 비선형 시스템을 위한 퍼지 모델 기반 제어기의 지능형 디지털 재설계)

  • Jang Kwon-Kyu;Kwon Oh-Shin;Joo Young-Hoon
    • Journal of Institute of Control, Robotics and Systems
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    • v.12 no.3
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    • pp.227-232
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    • 2006
  • In this paper, we propose a systematic method for intelligent digital redesign of a fuzzy-model-based controller for continuous-time nonlinear system which may also contain system uncertainties. The continuous-time uncertain TS fuzzy model is first contructed to represent the uncertain nonlinear system. A parallel distributed compensation(PDC) technique is then used to design a fuzzy-model-based controller for both stabilization. The designed continuous-time controller is then converted to an equivalent discrete-time controller by using a globally intelligent digital redesign method. This new technique is designed by a global matching of state variables between analog control system and digital control system. This new design technique provides a systematic and effective framework for integration of the fuzzy-model-based control theory and the advanced digital redesign technique for nonlinear systems with uncertainties. Finally, Chaotic Lorenz system is used as an illustrative example to show the effectiveness and the feasibility of the developed design method.

Robust $H_{\infty}$ FIR Sampled-Date Filtering for Uncertain Time-Varying Systems with Unknown Nonlinearity

  • Ryu, Hee-Seob;Byung-Moon;Kwon, Oh-Kyu
    • Transactions on Control, Automation and Systems Engineering
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    • v.3 no.2
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    • pp.83-88
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    • 2001
  • The robust linear H(sub)$\infty$ FIR filter, which guarantees a prescribed H(sub)$\infty$ performance, is designed for continuous time-varying systems with unknown cone-bounded nonlinearity. The infinite horizon filtering for time-varying systems is systems is investigated in therms of two Riccati equations by the finite moving horizon.

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Robust Reliable H$\infty$ a Control of Continuous/Discrete Uncertain Time Delay Systems using LMI

  • Kim, Jong-Hae;Park, Hong-Bae
    • Transactions on Control, Automation and Systems Engineering
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    • v.1 no.2
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    • pp.121-127
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    • 1999
  • In this paper, we present robust reliable H$\infty$ controller design methods of continuous and discrete uncertain time delay systems using LMI (linear matrix inequality) technique, respectively. Also the existence conditions of state feedback control are proposed . Using some changes of variables and Schur complements, the obtained sufficient conditions are transformed into an LMI form. The closed loop system by the obtained controller is quadratically stable with H$\infty$ norm bound for all admissible uncertainties, time delay, and all actuator failures occurred within the prespecified set. We show the validity of the proposed method through numerical example.

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Robust H(sup)$\infty$ FIR Sampled-Data Filtering for Uncertain Time-Varying Systems with Lipschitz Nonlinearity

  • Ryu, Hee-Seob;Yoo, Kyung-Sang;Kwon, Oh-Kyu
    • Transactions on Control, Automation and Systems Engineering
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    • v.2 no.4
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    • pp.255-261
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    • 2000
  • This paper presents the results of the robust H(sub)$\infty$ FIR filtering for a class of nonlinear continuous time-varying systems subject to real norm-bounded parameter uncertainty and know Lipschitz nonlinearity under sampled measurements. We address the problem of designing filters, using sampled measurements, which guarantee a prescribed H(sub)$\infty$ performance in continuous time-varying context, irrespective of the parameter uncertainty and unknown initial states. The infinite horizon causal H(sub)$\infty$FIR filter are investigated using the finite moving horizon in terms of two Riccati equations with finite discrete jumps.

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Imaging Technique Based on Continuous Terahertz Waves for Nondestructive Inspection (비파괴검사를 위한 연속형 테라헤르츠 파 기반의 영상화 기술)

  • Oh, Gyung-Hwan;Kim, Hak-Sung
    • Journal of Sensor Science and Technology
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    • v.27 no.5
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    • pp.328-334
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    • 2018
  • The paper reviews an improved continuous-wave (CW) terahertz (THz) imaging system developed for nondestructive inspection, such as CW-THz quasi-time-domain spectroscopy (QTDS) and interferometry. First, a comparison between CW and pulsed THz imaging systems is reported. The CW-THz imaging system is a simple, fast, compact, and relatively low-cost system. However, it only provides intensity data, without depth and frequency- or time-domain information. The pulsed THz imaging system yields a broader range of information, but it is expensive because of the femtosecond laser. Recently, to overcome the drawbacks of CW-THz imaging systems, many studies have been conducted, including a study on the QTDS system. In this system, an optical delay line is added to the optical arm leading to the detector. Another system studied is a CW-THz interferometric imaging system, which combines the CW-THz imaging system and far-infrared interferometer system. These systems commonly obtain depth information despite the CW-THz system. Reportedly, these systems can be successfully applied to fields where pulsed THz is used. Lastly, the applicability of these systems for nondestructive inspection was confirmed.